Finite Group Databasebeta

#568×Dic43 #25960011

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct product#568×Dic43

Splittings

SylowC43 ⋊ C4×#568

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutatorC2×C43C23×C42
FittingC2×C43×#568C2
socleC22×C43C24×C4
prime radicalC22×#41×C43C22
cosocleC2×C4×C43C25
hypercenterC2×#568D43
hypocenterC43C4×#568
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×#568

3250 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1032982);